Good day...need ur help with this.. By trial and error, it is obvious that x=2. But how should we do this without using trial and error? That is, by any step by step method. If any. thanks

Results 1 to 9 of 9

- Oct 2nd 2013, 05:48 PM #1

- Oct 2nd 2013, 07:28 PM #2
## Re: 3^(x-1) + 25^(3x/2) = 15628

- Oct 2nd 2013, 08:10 PM #3

- Joined
- Sep 2013
- From
- USA
- Posts
- 632
- Thanks
- 194

- Oct 2nd 2013, 08:24 PM #4

- Oct 2nd 2013, 08:54 PM #5

- Oct 16th 2013, 04:04 AM #6

- Oct 16th 2013, 04:52 AM #7

- Joined
- Feb 2013
- From
- Saudi Arabia
- Posts
- 445
- Thanks
- 86

## Re: 3^(x-1) + 25^(3x/2) = 15628

Aldrincambrera :

As Top squark mentioned above such kind of equations cannot be solved using algebraic methods...however:

transform the given equation into the form 3^x +3(125)^x =46884 then analyse the 46884 into the form 3^2+3(125)^2 and the solution x=2 is obvious.........

Have a good day.

In memory of my student Stefanos who died today ............may god bless his soul...........................

Minoas

- Oct 16th 2013, 04:53 AM #8

- Oct 16th 2013, 07:14 AM #9

- Joined
- Oct 2013
- From
- MALAYSIA
- Posts
- 1